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Finding the Fourth Proportional to 1,072.13, 1,479.80 and 606.65

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Solution

The fourth proportional to 1,072.13, 1,479.80 and 606.65 is: 837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.13 : 1,479.80 = 606.65 : x
  2. Step 2: Convert to fraction form
    1,072.13/1,479.80 = 606.65/x
  3. Step 3: Cross multiply
    1,072.13x = 1,479.80 × 606.65
  4. Step 4: Simplify right side
    1,072.13x = 897,714.79
  5. Step 5: Solve for x
    x = 897,714.79/1,072.13
  6. Step 6: Final answer
    x = 837.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.